Two particles carrying charges \(q_{1}=-4 \mu \mathrm{C}\) and \(q_{2}=\) \(12 \mu \mathrm{C}\) are located \(5 \mathrm{~m}\) apart. Choose a coordinate system where the first particle is at the origin, and the second is at \(x=5 \mathrm{~m}\). In this coordinate system, an electron sits at \((2 \mathrm{~m},-3 \mathrm{~m})\).

(a) Draw a diagram showing the vectors you need in order to determine the direction of the separate electric forces exerted on the electron by the particles.

(b) Calculate the vector sum of these two forces.